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Finding the Fourth Proportional to 3,817.65, 5,726.51 and 1,044.26

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Solution

The fourth proportional to 3,817.65, 5,726.51 and 1,044.26 is: 1,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.65 : 5,726.51 = 1,044.26 : x
  2. Step 2: Convert to fraction form
    3,817.65/5,726.51 = 1,044.26/x
  3. Step 3: Cross multiply
    3,817.65x = 5,726.51 × 1,044.26
  4. Step 4: Simplify right side
    3,817.65x = 5,979,974.43
  5. Step 5: Solve for x
    x = 5,979,974.43/3,817.65
  6. Step 6: Final answer
    x = 1,566.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.